Q2 / Find the distance between the point of intersection of the two lines 5X-3Y=15 & 2X+2Y=7 and point (2,√2)

Q: Find the point on the line 5x + y = 7 that is closest to the point (−4, 3).

A:

Q: find equation of a line passing through 2 points of intersection of two lines 3x-2y equal -8 and…

A: find equation of a line passing through 2 points of intersection of two lines 3x-2y equal -8 and…

Q: Find the point on the line 2x + y = 9 that is closest to the point (−3, 1).

A: We are given the line : 2x+y =9

Q: Find the point on the line 2x + y = 5 that is closest to the point (−5, 3).

A:

Q: Is the point (2,12) on the line y =5x-2

A: If point satisfied line equation then lie on line otherwise not

Q: Find the point on the line 2x + y = 7 that is closest to the point (−5, 2).

A:

Q: Find the point on the line 6x + y = 8 that is closest to the point (−5, 3)

A:

Q: Line L is perpendicular to the line 6z – y = 7 and passes through the point (0, 6). Line M is…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 2. Passes through (3, 5) and (-1, 5) 3 4. Perpendicular to the line y=--x-7 2 and passes through…

A: Given points (3,5) and (-1,5) Therefore slope m = (y2-y1)/(x2-x1) m = (5-5)/(-1-3) = 0 Therefore…

Q: Find the point on the line 3x + y = 6 that is closest to the

A: Explanation and solutions is given below....

Q: Find the point on the line 3x + y = 7 that is closest to the point (−4, 3)

A:

Q: 2) What is equation of the line through the points (-4,0) and (2,3)

A: The points on the line are given by x1, y1 = -4, 0 x2, y2 = 2, 3 Formula Used:   y-y1 =…

Q: Find the point on the line 6x + y = 7 that is closest to the point (−5, 3).

A:

Q: Find the point on the line 5x + y = 5 that is closest to the point (−2, 1).

A: We will solve the following.

Q: What is the distance between the line with Cartesian equation x-2 = y-8 = z-3 and the line with…

A: If first equation of the line parallel to the vector V1 through the point P1 and the second equation…

Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 1).

A: to find:- point Q(x,y).

Q: A new line is formed by drawing a perpendicular line froma point (- 2, 1) to a line y= 2z- 5. What…

A: Given equation of line y=2x-5   ------(1) To evaluate Point of intersection with a line passing…

Q: What is the equation of the line that passes through the points (4, –7.5) and (6, –3.5)? - 1 x – 5.5…

A:

Q: Find the point on the line 5x + y = 6 that is closest to the point (−5, 1).

A: The perpendicular drawn from the given point will be the closest distance of the line from the…

Q: In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating…

A: According to question given Coordinate plane line p has slope=8y intercept=(0,5)Line r is result of…

Q: The point of intersection of the straight lines y = 2x + 4 and y = 4x – 5 is (x, y) = ... (을, -13)…

A: Given query is to find the point of intersection of the given lines.

Q: What is the equation of the line that passes through the point (-1,9) and is parallel to the line…

A: Solution         Use slop intercepts form y=mx+b

Q: The two points on the lines 2x +3y +4 = 0, which are at a distance of 2 from the line 3x + 4 y –- 6…

A:

Q: Find the distance between each pair of points: а) (-3, —7) and (2, 5) b) (0, 0) and (-2, 6) с) (-а,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the distance between the line y=4x-12 and the point (4, 15).

A:

Q: Find the point on the line 2x + y = 7 that is closest to the point (−3, 2).

A: We use Given Equation and Point find the point on the line. We draw a perpendicular line from  given…

Q: Find the point on the line 6x + y = 7 that is closest to the point (−2, 1).

A: Given line 6x + y = 7     (1) Given point A(-2,1)

Q: Find the distance between each pair of points: с) (-4, 1) and (4, 5) d) (x — 2, у —3) and (х + 4, у…

A: Distance between two points Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 2).

A: We use second derivative test to find out point where distance minimum

Q: Find the point on the line 4x + y = 5 that is closest to the point (−4, 2).

A:

Q: Find the point on the line 2x + y = 6 that is closest to the point (−5, 2).

A: The distance from a point to a line is the shortest distance from a given point to any point on an…

Q: What is the distance between the line with Cartesian equation x-5 = y-9 = z-3 and the line with…

A: The given equations of lines are: x-51=y-91=z-31 and x-81=y-131=3z-41

Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 2).

A: We have to find the  point on the given line closest to another point.

Q: Find the point on the line 2x + y = 6 that is closest to the point (−5, 3).

A:

Q: Find the point on the line 2x + y = 5 that is closest to the point (−4, 3).

A: See the details solution in below

Q: The two points on the lines 2x + 3y +4 = 0, which are at a distance of 2 from the line 3x +4 y – 6 =…

A:

Q: The two points on the lines 2x + 3y + 4 = 0, which are at a distance of 2 from the line 3x + 4y - 6…

A: A detailed solution is given below

Q: Find the point on the line 2x + y = 9 that is closest to the point (−2, 1).

A:

Q: the line parallel to -6x + ½y = 0 and passing through (10, 10) %3D

A: Given: -6x+1/2y=0 Passing through (10, 10)

Q: Find the point on the line 6x + y = 7 that is closest to the point (−4, 3).

A:

Q: Find the point on the line 5x + y = 5 that is closest to the point (−4, 2).

A: Given,  The equation of the line  5x + y = 5   We have to find the point on the line which is…

Q: Find the point on the line 2x + y = 8 that is closest to the point (−5, 1).

A: Use distance formula to solve

Q: Find the point on the line 6x + y = 7 that is closest to the point (−5, 1).

A:

Q: 11. Find the equation of a line that is perpendicular to the line y =--x+5, passing through the…

A:

Q: Find the point on the line 4x + y = 6 that is closest to the point (−5, 3).

A: Here to solve question closest distance is perpendicular distance.

Q: Find the point on the line 5x + y = 9 that is closest to the point (−4, 1).

A:

Q: Find the point on the line 3x + y = 5 that is closest to the point (−5, 2).

A:

Q: Find the point on the line 3x + y = 5 that is closest to the point (−4, 3).

A:

Q: Line perpendicular to x -2y=3 and containing (-3,1)

A: The given line

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.